1361758314420 has 288 divisors, whose sum is σ = 5001327991296. Its totient is φ = 292781260800.

The previous prime is 1361758314383. The next prime is 1361758314431. The reversal of 1361758314420 is 244138571631.

1361758314420 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 7 + 583 + 1 + 44 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39202660 + ... + 39237380.

It is an arithmetic number, because the mean of its divisors is an integer number (17365722192).

Almost surely, 2^{1361758314420} is an apocalyptic number.

1361758314420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361758314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500663995648).

1361758314420 is an abundant number, since it is smaller than the sum of its proper divisors (3639569676876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1361758314420 is a wasteful number, since it uses less digits than its factorization.

1361758314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36591 (or 36586 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1361758314420 in words is "one trillion, three hundred sixty-one billion, seven hundred fifty-eight million, three hundred fourteen thousand, four hundred twenty".